To simplify -2 - 5/8, you can convert -2 into a fraction with a common denominator:
-2 can be expressed as -16/8 (since -2 = -16/8).
Now, you can combine the fractions:
\[ -16/8 - 5/8 = (-16 - 5)/8 = -21/8 \]
So, -2 - 5/8 equals -21/8.
If you want to express this as a mixed number, it would be:
\[ -2 \frac{5}{8} \]
Thus, the final answer can be written as either -21/8 or -2 5/8.